Abstract. We investigate
a renewal process N(t) = max{n ≥ 1 : Sn = ∑_{1}^{n}Xi ≤ t} for t ≥
0 where X_{1}, X_{2}, ... with P(X_{i}
≥ 0) = 1 (i = 1, 2, ... ) is a sequence of mdependent or mixing random variables. We give such a
condition under which N(t) has
finite moment. Strong law of large numbers and central limit theorems for
the function N(t) are
given.
